Abstract
Single-pixel imaging, with the advantages of a wide spectrum, beyond-visual-field imaging, and robustness to light scattering, has attracted increasing attention in recent years. Fourier single-pixel imaging (FSI) can reconstruct sharp images under sub-Nyquist sampling. However, the conventional FSI has difficulty balancing imaging quality and efficiency. To overcome this issue, we proposed a novel approach called complementary Fourier single-pixel imaging (CFSI) to reduce the number of measurements while retaining its robustness. The complementary nature of Fourier patterns based on a four-step phase-shift algorithm is combined with the complementary nature of a digital micromirror device. CFSI only requires two phase-shifted patterns to obtain one Fourier spectral value. Four light intensity values are obtained by loading the two patterns, and the spectral value is calculated through differential measurement, which has good robustness to noise. The proposed method is verified by simulations and experiments compared with FSI based on two-, three-, and four-step phase shift algorithms. CFSI performed better than the other methods under the condition that the best imaging quality of CFSI is not reached. The reported technique provides an alternative approach to realize real-time and high-quality imaging.
Highlights
Conventional optical imaging systems generally use a pixelated array of detectors as the light detection unit
To balance the imaging efficiency and imaging quality, we proposed a novel method based on the complementary nature of digital micromirror device (DMD) and a four-step phase-shift algorithm, that is complementary Fourier single-pixel imaging (CFSI)
CFSI illuminates the object with phase-shifting sinusoidal-structured light patterns, and the reflected or transmitted light from the object is collected by a singlepixel detector to obtain the Fourier spectrum
Summary
Conventional optical imaging systems generally use a pixelated array of detectors as the light detection unit. In. 2017, Zhang et al [27] proposed an FSI based on three-step phase-shift algorithm that only requires 1.5-times the number of pixels of the illumination pattern. To balance the imaging efficiency and imaging quality, we proposed a novel method based on the complementary nature of DMD and a four-step phase-shift algorithm, that is complementary Fourier single-pixel imaging (CFSI). Compared to conventional FSI, CFSI is able to achieve better imaging quality because it can obtain more Fourier spectral value with the same number of measurements, while having the advantage of robustness to noise. This technology provides an approach to realize real-time and high-quality imaging. We compare the proposed method with the current FSI based on two, three, and four-step phase-shift algorithms and summarize the whole work and draw conclusions
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